Chebyshev nodes
Roots of the Chebyshev polynomials of the first kind
Chebyshev nodes
In numerical analysis, Chebyshev nodes (also called Chebyshev points or a Chebyshev grid) are a set of specific algebraic numbers used as nodes for polynomial interpolation and numerical integration. They are the projection of a set of equispaced points on the unit circle onto the real interval [ − 1 , 1 ] {\displaystyle [-1,1]} , the circle's diameter. There are two kinds of Chebyshev nodes. The n {\displaystyle n} Chebyshev nodes of the first kind, also called the Chebyshev–Gauss nodes or Chebyshev zeros, are the zeros of a Chebyshev polynomial of the first kind, T n {\displaystyle T_{n}} . The corresponding n + 1 {\displaystyle n+1} Chebyshev nodes of the second kind, also called the Chebyshev–Lobatto...
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